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Solid/Liquid Phase Change: Recent Studies and Models

R. Prud’homme1, M. El Ganaoui2

LMM, Université Pierre et Marie Curie/CNRS- 4 PlaceJussieu – 75252 Paris Cedex 05, France.
SPCTS, Université de Limoges UMR 66 38 CNRS, -123Albert Thomas-87060 Limoges, France.

Fluid Dynamics & Materials Processing 2007, 3(2), 161-172. https://doi.org/10.3970/fdmp.2007.003.161

Abstract

Some problems related to solid/liquid phase change are presented. Attention is focused on interface modeling for numerical analysis and one-dimensional directional growing and melting. Microgravity relevance of some situations is emphasized. It is shown, in particular, that in some circumstances melting is not the simple reversal of crystal growth due to some (still poorly known) phenomena (nucleation and growth of liquid droplets in the bulk, solid and liquid dendrites due to a morphological instability of the phase boundary). Relevant mathematical models are discussed and described (to a certain extent) for analysis and/or characterization of these phenomena when they are disjoint or partially combined. Some effort is provided to model phenomena occurring at both the microscopic and macroscopic scale lengths.

Cite This Article

Prud’homme, R., Ganaoui, M. E. (2007). Solid/Liquid Phase Change: Recent Studies and Models. FDMP-Fluid Dynamics & Materials Processing, 3(2), 161–172. https://doi.org/10.3970/fdmp.2007.003.161



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